通量限制器与LED性质、空间离散精度

Flux Limiters and LED Property,Accuracy of Spatial Discretizations

本文从标量形式的ＵＳＬＩＰ格式出发，从理论上分析了通量限制器与ＬＥＤ（Ｌｏ－ｃａｌＥｘｔｒｅｍ ｕｍ Ｄｉｍ ｉｎｉｓｈｉｎｇ）性质和空间离散精度的关系。利用Ｒｏｅ 平均矩阵的Ｕ 特性和广义数值Ｒｉｅｍ ａｎｎ 不变量的概念，将此类格式应用于二维翼型跨声流场的数值模拟，针对提供的来流条件。

On the base of scalar USLIP scheme,the paper analyses the relations between flux limiters and accuracy of spatial discretizations.Adopting the U property of Roe average matrix and the general numerical Riemann invariants,this kind of difference scheme is applied to numerical simulation of two dimensional transonic airfoil flow field,within the initial condition of this paper,the relations between flux limiters and the accuracy of numerical simulation are investigated.